A Fluid-Dynamic Interpretation of Quantum Mechanics via the Planck Gas Model

We formally derive two nonlinear Ginzburg-Landau type models starting from the Wigner-Fokker-Planck system, which rules the evolution of a quantum electron gas interacting with a heat bath in thermodynamic equilibrium. These models mainly consist of a quantum, dissipative O(Planck 3) hydrodynamic/O(Planck 4) stochastic correction to the frictional (Caldeira-Leggett-)Schrödinger equation. The main ingredient lies in the use of the hydrodynamic/stochastic fluid model approach associated with the quantum Fokker-Planck equation and the identification of the associated pressure field. Then, Madelung transformations set the problem in the Schrödinger picture of dissipative quantum mechanics. We also describe the stationary dynamics associated with both systems.We formally derive two nonlinear Ginzburg-Landau type models starting from the Wigner-Fokker-Planck system, which rules the evolution of a quantum electron gas interacting with a heat bath in thermodynamic equilibrium. These models mainly consist of a quantum, dissipative O(Planck 3) hydrodynamic/O(Planck 4) stochastic correction to the frictional (Caldeira-Leggett-)Schrödinger equation. The main ingredient lies in the use of the hydrodynamic/stochastic fluid model approach associated with the quantum Fokker-Planck equation and the identification of the associated pressure field. Then, Madelung transformations set the problem in the Schrödinger picture of dissipative quantum mechanics. We also describe the stationary dynamics associated with both systems.

Physical Review EFeb 24, 200427 citations

The Hydrodynamic Nature of the Photoelectric Effect: Planck's Constant as Space Viscosity within the v_L Model

Artem Leliavyn

Abstract: The Hydrodynamic Nature of the Photoelectric Effect — Planck's Constant as Space Viscosity within the $v_L$ Model This paper extends the Space Flow Hydrodynamic Model ( $v_L$ ) to quantum phenomena, offering a deterministic physical foundation for quantum mechanics through the principles of fluid dynamics. The research proposes that the photoelectric effect is not a stochastic occurrence, but a direct mechanical consequence of an electron overcoming the local spatial absorption flow ( $v_L$ ) generated by the atomic nucleus. Key Theoretical Insights: Planck's Constant as Viscosity: A central thesis of this study is that Planck's constant ( $h$ ) represents the dynamic viscosity of the spatial medium. In this framework, $h$ acts as the physical coefficient of spatial resistance against which all quantum interactions occur. Hydrodynamic Escape Mechanism: To eject an electron, an external impulse (photon) must provide sufficient energy to counteract the hydrodynamic "suction" or inflow pressure of the nucleus. The work function is thus redefined as the energy required to break the laminar flow of the spatial medium at the electron's nodal position. Threshold Frequency: Photoemission is reinterpreted as a "shockwave frequency" high enough to displace an electron node from its resonant spatial inflow. Physical Interpretation: The model treats "empty space" as a superfluid with a specific, measurable dynamic viscosity ( $\eta \approx 6.626 \times 10^{-34}$ Pa·s). This approach provides a tangible alternative to "action at a distance," replacing it with the measurable, local dynamics of space absorption and flow. Conclusion: By deriving quantum constants from fluid dynamics, the $v_L$ model provides a bridge between classical mechanics and quantum theory. This framework suggests that the laws governing atomic structures and stellar systems are identical, differing only in the scale of the spatial flow harmonics.Abstract: The Hydrodynamic Nature of the Photoelectric Effect — Planck's Constant as Space Viscosity within the $v_L$ Model This paper extends the Space Flow Hydrodynamic Model ($v_L$) to quantum phenomena, offering a deterministic physical foundation for quantum mechanics through the principles of fluid dynamics. The research proposes that the photoelectric effect is not a stochastic occurrence, but a direct mechanical consequence of an electron overcoming the local spatial absorption flow ($v_L$) generated by the atomic nucleus. Key Theoretical Insights: Planck's Constant as Viscosity: A central thesis of this study is that Planck's constant ($h$) represents the dynamic viscosity of the spatial medium. In this framework, $h$ acts as the physical coefficient of spatial resistance against which all quantum interactions occur. Hydrodynamic Escape Mechanism: To eject an electron, an external impulse (photon) must provide sufficient energy to counteract the hydrodynamic "suction" or inflow pressure of the nucleus. The work function is thus redefined as the energy required to break the laminar flow of the spatial medium at the electron's nodal position. Threshold Frequency: Photoemission is reinterpreted as a "shockwave frequency" high enough to displace an electron node from its resonant spatial inflow. Physical Interpretation: The model treats "empty space" as a superfluid with a specific, measurable dynamic viscosity ($\eta \approx 6.626 \times 10^{-34}$ Pa·s). This approach provides a tangible alternative to "action at a distance," replacing it with the measurable, local dynamics of space absorption and flow. Conclusion: By deriving quantum constants from fluid dynamics, the $v_L$ model provides a bridge between classical mechanics and quantum theory. This framework suggests that the laws governing atomic structures and stellar systems are identical, differing only in the scale of the spatial flow harmonics.

Mar 4, 20260 citations

The fluid process underlying quantum mechanics

James G. Gilson

Acta Physica Academiae Scientiarum HungaricaeApr 1, 19784 citations

Fluid Mechanics of Quantum Systems

Chia‐Liang Lin, Tsu-Hsu Yen

Journal of Computational and Theoretical NanoscienceAug 1, 20110 citations

Why Disconnected Steps for Electrons Become Smooth Processes for Galaxies

James E Beecham

Quantum mechanics reveals that nature operates through discrete units of actioncharacterized by Planck's constant, (h). Individual electrons exchange energy in quantizedsteps, possess de Broglie wavelengths, obey Schrödinger evolution, and are subject toHeisenberg uncertainty. Yet galaxies, stars, planets, and fluids exhibit smooth, continuousbehavior seemingly disconnected from these microscopic rules. This apparent divide hastraditionally been interpreted as evidence that quantum mechanics governs only themicroscopic world while classical mechanics governs the macroscopic world.This paper proposes an alternative interpretation within the Space-Phase (SP3) framework.It argues that both quantum and classical behavior arise from the same underlyingconditionable medium. Planck's constant is interpreted not primarily as a property ofmatter or radiation, but as the minimum quantum of reorganization of that medium.Individual particles negotiate the medium one elementary action step at a time, whereasmacroscopic systems involve astronomically large numbers of simultaneousreorganizations whose collective average appears continuous. In this view, classicalmechanics is not separate from quantum mechanics but represents the statistical limit ofcountless microscopic groove transitions occurring together.The proposed groove model offers a physical interpretation of why discontinuousmicroscopic processes naturally become smooth macroscopic dynamics while preservingthe common role of Planck's constant throughout quantum physics.Quantum mechanics reveals that nature operates through discrete units of actioncharacterized by Planck's constant, (h). Individual electrons exchange energy in quantizedsteps, possess de Broglie wavelengths, obey Schrödinger evolution, and are subject toHeisenberg uncertainty. Yet galaxies, stars, planets, and fluids exhibit smooth, continuousbehavior seemingly disconnected from these microscopic rules. This apparent divide hastraditionally been interpreted as evidence that quantum mechanics governs only themicroscopic world while classical mechanics governs the macroscopic world.This paper proposes an alternative interpretation within the Space-Phase (SP3) framework.It argues that both quantum and classical behavior arise from the same underlyingconditionable medium. Planck's constant is interpreted not primarily as a property ofmatter or radiation, but as the minimum quantum of reorganization of that medium.Individual particles negotiate the medium one elementary action step at a time, whereasmacroscopic systems involve astronomically large numbers of simultaneousreorganizations whose collective average appears continuous. In this view, classicalmechanics is not separate from quantum mechanics but represents the statistical limit ofcountless microscopic groove transitions occurring together.The proposed groove model offers a physical interpretation of why discontinuousmicroscopic processes naturally become smooth macroscopic dynamics while preservingthe common role of Planck's constant throughout quantum physics.

Jul 4, 20260 citations

Abstract: The Hydrodynamic Nature of the Photoelectric Effect — Planck's Constant as Space Viscosity within the

v_L

Model This paper extends the Space Flow Hydrodynamic Model (

v_L

) to quantum phenomena, offering a deterministic physical foundation for quantum mechanics through the principles of fluid dynamics. The research proposes that the photoelectric effect is not a stochastic occurrence, but a direct mechanical consequence of an electron overcoming the local spatial absorption flow (

v_L

) generated by the atomic nucleus. Key Theoretical Insights: Planck's Constant as Viscosity: A central thesis of this study is that Planck's constant (

h

) represents the dynamic viscosity of the spatial medium. In this framework,

h

acts as the physical coefficient of spatial resistance against which all quantum interactions occur. Hydrodynamic Escape Mechanism: To eject an electron, an external impulse (photon) must provide sufficient energy to counteract the hydrodynamic "suction" or inflow pressure of the nucleus. The work function is thus redefined as the energy required to break the laminar flow of the spatial medium at the electron's nodal position. Threshold Frequency: Photoemission is reinterpreted as a "shockwave frequency" high enough to displace an electron node from its resonant spatial inflow. Physical Interpretation: The model treats "empty space" as a superfluid with a specific, measurable dynamic viscosity (

\eta \approx 6.626 \times 10^{-34}

Pa·s). This approach provides a tangible alternative to "action at a distance," replacing it with the measurable, local dynamics of space absorption and flow. Conclusion: By deriving quantum constants from fluid dynamics, the

v_L

model provides a bridge between classical mechanics and quantum theory. This framework suggests that the laws governing atomic structures and stellar systems are identical, differing only in the scale of the spatial flow harmonics.